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Finding the Fourth Proportional to 144,810.44, 199,835.16 and 84,377.32

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Solution

The fourth proportional to 144,810.44, 199,835.16 and 84,377.32 is: 116,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810.44 : 199,835.16 = 84,377.32 : x
  2. Step 2: Convert to fraction form
    144,810.44/199,835.16 = 84,377.32/x
  3. Step 3: Cross multiply
    144,810.44x = 199,835.16 × 84,377.32
  4. Step 4: Simplify right side
    144,810.44x = 16,861,555,242.57
  5. Step 5: Solve for x
    x = 16,861,555,242.57/144,810.44
  6. Step 6: Final answer
    x = 116,438.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.